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1. A rectangular field is going to be enclosed and divided into two separate rectangular areas. (The areas do not have to be equal.) Find the minimum fencing that is required if the total area of the field is 1200 m2.
2. A closed cylindrical container needs to have a volume of 128pie dm3. Find the dimensions if the total area must be a minimum.
3. A rectangular storage box has a base that is three times as long as it is wide. The top is made of a material that costs 35 times the price per square meter of the material used for the rest of the box. Find the dimensions that would be necessary to ensure the minimal cost if the volume of the box must be 3 m3.
4. The Meal Group Caterer finds that competitors cater lunch for a group of 100 people for $5 each. The manager of Meal Group Caterer calculates that for each 25 cent discount per lunch, it is possible to sell an additional 10 lunches. If each lunch costs Meal Group Caterer $2 to prepare, how many lunches should be prepared to maximize the profit?
the sleeping aid ambien has a biological half-life of about 1.5 hours.nbsp assume someone takes a 10 mg dose at 900
"Find all times t in the open interval 0
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
Consider the function f(X)=ln(x^2+1). Calculate the slope of the tangent line at the point (2,ln(5)) to two decimal places.
Numerical Concepts : Definitions, Please explain or define these concepts. 1. Natural number 2. Multiplication 3. Subtraction 4. Closure for addition
Find a Linear Function that F that expresses temperature Fahrenheit scale in terms of degrees Celsius C.
the surface area of the moon is 37 932 330 km2.calculate the side length of a square with the same area.
conservationist catches 300 deer, later 716 deer are caught 179 of them are tagged, how many are in preserve?
There are 420 feet of fencing available to complete the job. Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
A straw is 10.75 inches long. If cut into 2 equally-sized pieces, what is the length of each piece? I think the answer is 5.375 inches long. Please provide step-by-step instructions to solve this problem.
Find the width of a Norman Windown if the total area of the square and semicircle is said to be 200 ft^2.
Direct Products of Groups, Conjugate Subgroups, Homomorphisms and Isomorphisms, Assume that K is a cyclic group, H is an arbitrary group and f1 and f2 are homomorphisms from K into Aut(H) such that f1(K) and f2(K) are conjugate subgroups of Aut(H)
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